Book contents
- Frontmatter
- Contents
- Preface
- 1 Why convex?
- 2 Convex functions on Euclidean spaces
- 3 Finer structure of Euclidean spaces
- 4 Convex functions on Banach spaces
- 5 Duality between smoothness and strict convexity
- 6 Further analytic topics
- 7 Barriers and Legendre functions
- 8 Convex functions and classifications of Banach spaces
- 9 Monotone operators and the Fitzpatrick function
- 10 Further remarks and notes
- List of symbols
- References
- Index
2 - Convex functions on Euclidean spaces
Published online by Cambridge University Press: 07 September 2011
Book contents
- Frontmatter
- Contents
- Preface
- 1 Why convex?
- 2 Convex functions on Euclidean spaces
- 3 Finer structure of Euclidean spaces
- 4 Convex functions on Banach spaces
- 5 Duality between smoothness and strict convexity
- 6 Further analytic topics
- 7 Barriers and Legendre functions
- 8 Convex functions and classifications of Banach spaces
- 9 Monotone operators and the Fitzpatrick function
- 10 Further remarks and notes
- List of symbols
- References
- Index
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- Convex FunctionsConstructions, Characterizations and Counterexamples, pp. 18 - 93Publisher: Cambridge University PressPrint publication year: 2010